Universality in the Crossover between Edge Channel and Bulk Transport in the Quantum Hall Regime

TL;DR

This paper introduces a new theoretical framework for the integer quantum Hall effect, explaining transitions between different transport regimes and identifying a temperature-invariant transition point.

Contribution

It provides a novel theoretical approach that describes inter-plateau transitions and the transition to the Hall insulator in the quantum Hall regime.

Findings

Identifies metallic and insulator-like regimes in the top Landau level.

Describes dissipative bulk current directions in different regimes.

Finds a temperature-invariant transition point separating regimes.

Abstract

We present a new theoretical approach for the integer quantum Hall effect, which is able to describe the inter-plateau transitions as well as the transition to the Hall insulator. We find two regimes (metallic and insulator like) of the top Landau level, in which the dissipative bulk current appears in different directions. The regimes are separated by a temperature invariant point.